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asambeis [7]
3 years ago
5

Tanner bought x hot dogs and y hamburgers at a baseball game. He spent a total of $10. The equation below describes the relation

ship between the number of hot dogs and the number of hamburgers purchased.
3x + 4y = 10

The ordered pair (2,1) is a solution of the equation. What does the solution (2,1) represent?


- Hamburgers cost twice as much as hot dogs.

- Tanner bought 2 hot dogs and 1 hamburger.

- Hot dogs cost $2 and hamburgers cost $1.

- Tanner spent $2 on hot dogs and $1 on hamburgers.
Mathematics
1 answer:
Tom [10]3 years ago
6 0
3x + 4y = 10....where x is the number of hotdogs and y is the number of hamburgers...

so with the solution (2,1)......this means 2 hot dogs were sold and 4 hamburgers were sold....Tanner bought 2 hot dogs and 1 hamburger
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = x - 16

5y = 2x - 56

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                5(x - 16) = 2x - 56
  2. Distribute 5:                                                                                                     5x - 80 = 2x - 56
  3. [Subtraction Property of Equality] Subtract 2x on both sides:                     3x - 80 = -56
  4. [Addition Property of Equality] Add 80 on both sides:                                3x = 24
  5. [Division Property of Equality] Divide 3 on both sides:                                x = 8

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = x - 16
  2. Substitute in <em>x</em>:                                                                                                y = 8 - 16
  3. Subtract:                                                                                                          y = -8
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